CBSE Syllabus Class 9 Maths 2025-26 | Free PDF Download

Have you ever wondered why maths feels like a puzzle—sometimes exciting, sometimes frustrating? Well, welcome to Class 9, where maths takes a whole new turn! This is the year when numbers, shapes, and equations start making more sense (or seem even trickier if you don’t approach them right!).

But what exactly does the CBSE Class 9 Maths syllabus have in store for you? Will algebra finally feel easy? Can geometry be fun instead of confusing? And what’s the deal with statistics and probability—do they really help in real life?

This syllabus isn’t just about solving problems; it’s about developing logical thinking and problem-solving skills that will stay with you forever. From polynomials to coordinate geometry, from surface areas to probability, each topic is a stepping stone to mastering the subject.

So, are you ready to unravel the mysteries of maths? Let’s dive into the syllabus and see how you can make this year’s maths journey both fun and rewarding!.

Download the latest Mathematics Syllabus 2025-26
<cta2>Download<cta2>

‍

Class 9 Maths Chapter-Wise Marking Scheme CBSE 2025

Mathematics in Class 9 is an essential subject that builds the foundation for higher classes. Understanding the chapter-wise marking scheme helps students focus on important topics and prepare effectively for exams. The CBSE exam pattern follows a structured approach, ensuring that all key concepts are covered systematically.

‍

Class 9  Maths Chapter-wise Marking scheme CBSE 2025

Want to know which chapters in Class 9 Maths carry the most weight in your exams? The CBSE Class 9 Maths Chapter-Wise Marking Scheme for 2025 is your key to strategising your preparation! With a clear breakdown of marks allocated to each chapter, you can now focus on the topics that matter the most and maximise your score.

‍

Class 9 Maths Syllabus 2025: Overview

Given below is a detailed breakdown of the units as well as chapters covered in the Class 9 Maths CBSE Syllabus.

Detailed Chapter-wise breakdown of Maths 9 Class Syllabus  

Unit 1: Number Systems

This unit focuses on enhancing the understanding of real numbers, which are fundamental for many advanced mathematical concepts.

Chapter 1: Real Numbers

• Irrational Numbers: Understanding numbers that cannot be expressed as fractions.
• Representation of Real Numbers on the Number Line: Methods to represent irrational numbers on a number line.
• Operations on Real Numbers: Addition, subtraction, multiplication, and division of real numbers.
• Laws of Exponents for Real Numbers: Application of exponent laws in operations involving real numbers.
• Successive Magnification: How to locate the decimal expansion of numbers using magnification.
• Rationalisation: Rationalising the denominator of a given irrational number.

Unit 2: Algebra

This unit deals with polynomials, equations, and their applications.

Chapter 2: Polynomials

• Definition of Polynomials: Overview of polynomials, degree, and classification based on degree.
• Zeros of a Polynomial: The relationship between the zeroes of a polynomial and its coefficients.
• Factorization of Polynomials: Techniques to factorize quadratic polynomials using identities.
• Algebraic Identities: Application of standard identities in polynomial factorization, such as:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a - b)(a + b)

Chapter 3: Linear Equations in Two Variables

• Introduction to Linear Equations: Solving linear equations in two variables.
• Graphical Representation of Linear Equations: Plotting the graph of a linear equation on a Cartesian plane.
• Equations of Lines: Equations of lines parallel to the x-axis and y-axis.

Unit 3: Coordinate Geometry

This unit introduces the basics of geometry in the coordinate plane.

Chapter 4: Introduction to Coordinate Geometry

• Cartesian Plane: Understanding the Cartesian coordinate system.
• Plotting Points on the Plane: Plotting points using ordered pairs of real numbers.
• Distance Formula: Derive and apply the distance formula for finding the distance between two points on a coordinate plane.
• Section Formula: Finding the coordinates of a point that divides a line segment in a given ratio.

Unit 4: Geometry

This unit focuses on the properties of shapes, lines, angles, and their theorems.

Chapter 5: Lines and Angles

• Basic Definitions: Terms like collinear points, intersecting lines, adjacent angles, and more.
• Theorems:
  
  • If two lines intersect, the vertically opposite angles are equal.
  • The sum of angles in a triangle is 180°.
  • If a transversal intersects two parallel lines, the corresponding angles are equal.

Chapter 6: Triangles

• Congruence of Triangles: Criteria for triangle congruence (SSS, SAS, ASA, RHS).
• Theorems:
  
  • In a triangle, the angles opposite to equal sides are equal.
  • The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Chapter 7: Quadrilaterals

• Types of Quadrilaterals: Parallelograms, rectangles, rhombuses, squares, and their properties.
• Theorems:
  
  • The diagonals of a parallelogram bisect each other.
  • Opposite angles of a parallelogram are equal.

Chapter 8: Areas of Parallelograms and Triangles

• Concepts of Area: Calculation of the area of parallelograms and triangles using base and height.
• Theorems:
  
  • Parallelograms on the same base and between the same parallels are equal in area.
  • Triangles on the same base and between the same parallels are equal in area.

Chapter 9: Circles

• Basic Definitions: Chords, arcs, sectors, tangents, and their properties.
• Theorems:
  
  • Equal chords of a circle subtend equal angles at the center.
  • The perpendicular from the center of a circle to a chord bisects the chord.

Chapter 10: Constructions

• Basic Constructions:
  
  • Bisecting angles and lines.
  • Construction of triangles with specific conditions, such as SSS, SAS, and ASA.

Unit 5: Mensuration

Mensuration deals with the measurement of geometric figures, including areas and volumes.

Chapter 11: Areas

• Areas of Plane Figures: Area of squares, rectangles, triangles, trapeziums, and circles.
• Application-based Problems: Solving real-life problems based on areas of these figures.

Chapter 12: Surface Areas and Volumes

• Surface Area: Calculation of surface areas of 3D objects like cubes, cuboids, right circular cylinders, and spheres.
• Volume: Finding the volume of cubes, cuboids, spheres, hemispheres, right circular cones, and right circular cylinders.
• Real-life Applications: Application of surface area and volume formulas in practical problems.

Unit 6: Statistics and Probability

This unit introduces basic concepts of statistics and probability, which are fundamental for data interpretation.

Chapter 13: Statistics

• Introduction to Statistics: Collection, classification, and representation of data.
• Graphical Representation: Representation of data using bar graphs, histograms, and frequency polygons.
• Measures of Central Tendency: Calculation of mean, median, and mode of ungrouped data.

Chapter 14: Probability

• Introduction to Probability: Understanding of probability as a measure of uncertainty.
• Experimental Probability: Probability based on the ratio of favorable outcomes to total outcomes.
• Simple Problems on Probability: Solving elementary problems based on events and probability.

Class 9 CBSE Mathematics Exam Pattern based on Syllabus 2025

Understanding the CBSE Class 9 Mathematics Exam Pattern is crucial for scoring well in exams. The 2025 CBSE Maths exam follows a structured format that includes both theory and internal assessment, ensuring students develop a strong conceptual foundation.

CBSE Class 9 Maths Exam Structure (2025)

The total marks for the Class 9 Maths exam are 100, divided into:

• Theory Paper – 80 Marks
• Internal Assessment – 20 Marks

CBSE Class 9 Maths Theory Paper Pattern (80 Marks)

The theory exam consists of different types of questions to test students' understanding, application, and analytical skills.

‍

CBSE Class 9 Maths Internal Assessment (20 Marks)

The internal assessment includes:

• Periodic Tests (10 Marks) – Regular school-based tests.
• Mathematics Activities & Practical Work (5 Marks) – Lab activities and hands-on learning.
• Portfolio (5 Marks) – Assignments, projects, and classroom participation.

Important Highlights of the 2025 Maths Exam Pattern

• Concept-based learning – Focuses on understanding rather than rote memorisation.
• Application-Oriented Questions – Includes real-life problem-solving questions.
• Higher Order Thinking Skills (HOTS) – Encourages critical thinking.
• Stepwise Marking Scheme – Ensures partial credit for correct steps in long answers.

Preparation Tips for Class 9 Maths Exam

• Understand the Marking Scheme – Focus more on high-weightage topics.
• Solve NCERT and Sample Papers – Practice regularly to improve speed and accuracy.
• Work on Weak Areas – Revise tricky topics and clear doubts.
• Time Management – Practice completing the paper within the time limit.

By following this structured approach, students can effectively prepare for the CBSE Class 9 Mathematics Exam 2025 and achieve excellent results!

Important Topics For Maths Board Exam Class 9 CBSE 2025

This table organises the important topics from the Class 9 CBSE Mathematics syllabus with a focus on why each topic is crucial. These important areas are vital for excelling in Class 9 and form the foundation for higher studies in mathematics.

‍

How to Use the 2025-26 Mathematics Syllabus for Class 9

Mathematics is a subject that requires consistent practice and a clear understanding of concepts. The CBSE Class 9 Maths syllabus for 2025-26 is designed to build a strong foundation for higher studies. But simply having the syllabus isn’t enough—you need to know how to use it effectively for better preparation and higher scores.

Understand the Syllabus Structure

The syllabus is divided into different units, such as Number Systems, Algebra, Geometry, Mensuration, Statistics, and Probability. Go through the topics carefully and note which ones you find easy and which ones need extra effort.

Focus on the Marking Scheme

Each chapter carries different weightage in exams. Prioritise high-mark topics like Algebra and Geometry, but don’t ignore the smaller chapters—they can be scoring too! A well-balanced study plan will help you cover all topics efficiently.

Plan a Study Schedule

Once you understand the syllabus and marking scheme, create a realistic timetable. Allocate more time to challenging topics, but ensure you revise the easier ones regularly. Consistency is the key to mastering maths!

Use NCERT Books as Your Primary Resource

NCERT textbooks are the most important resource for Class 9 Maths. CBSE sets the exam questions based on NCERT, so solving all exercises, examples, and additional problems will help you strengthen your concepts.

Practice, Practice, Practice!

Mathematics is not about memorising—it’s about understanding and applying concepts. Solve:

• NCERT exercises after completing each chapter.
• Previous years’ question papers to understand the exam pattern.
• Sample papers and mock tests to improve speed and accuracy.

Take Notes and Revise Regularly

While studying, write down important formulas, theorems, and concepts in a separate notebook. This will be useful for quick revision before exams. Try to revise at least once a week to keep concepts fresh in your mind.

Solve Real-Life Problems

Math isn’t just about exams—it helps in real life, too! Try applying concepts like probability, statistics, and geometry in practical situations. This makes learning more interesting and helps you remember concepts better.

Clear Your Doubts on Time

Don’t let doubts pile up! If you find any topic difficult, ask your teacher, discuss it with friends, or watch online tutorials. Understanding concepts early will prevent confusion later.

Attempt Higher-Order Thinking (HOT) Questions

CBSE exams now include application-based and reasoning questions. Practising higher-order thinking questions will prepare you for these and improve your logical reasoning skills.

Success in Maths comes with regular practice and self-confidence. Don’t be afraid of mistakes—learn from them and keep improving. With the right approach, Class 9 Maths will become easier and more enjoyable!

By following these steps, you can use the 2025-26 CBSE Class 9 Maths syllabus effectively, build strong mathematical skills, and perform well in your exams. Happy learning!